Some enumeration results on trace forms of low radical over finite fields of characteristic two

DOI10.1016/j.ffa.2022.102005OpenAlexW4211169240MaRDI QIDQ2123299

Sankhadip Roy

Publication date: 8 April 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102005

zbMATH Keywords

finite fieldstrace formsself-reciprocal polynomialsmaximal Artin-Schreier curves

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Cites Work

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• Self-reciprocal irreducible polynomials over finite fields
• Invariants of trace forms over finite fields of characteristic 2
• Construction of bent functions from near-bent functions
• Cross-correlations of geometric sequences in characteristic two
• Highly degenerate quadratic forms over finite fields of characteristic 2
• Pencils of quadratic forms over finite fields
• Quadratic functions with prescribed spectra
• Trace forms over finite fields of characteristic 2 with prescribed invariants
• Enumeration of Quadratic Functions With Prescribed Walsh Spectrum
• Algebraic Function Fields and Codes

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